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Finding the Fourth Proportional to 22,706.53, 34,074.07 and 12,042.47

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Solution

The fourth proportional to 22,706.53, 34,074.07 and 12,042.47 is: 18,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.53 : 34,074.07 = 12,042.47 : x
  2. Step 2: Convert to fraction form
    22,706.53/34,074.07 = 12,042.47/x
  3. Step 3: Cross multiply
    22,706.53x = 34,074.07 × 12,042.47
  4. Step 4: Simplify right side
    22,706.53x = 410,336,020.83
  5. Step 5: Solve for x
    x = 410,336,020.83/22,706.53
  6. Step 6: Final answer
    x = 18,071.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.